Question

Part A : A cylindrical water tank 10cm high and 520cm in diameter is filled with solution with a density of 0.75 g/cm^3

Answer 1

Answer: $0.1066\ psi, 15.611\ kN$

Explanation:

Given

the height of the tank is $h=10\ cm$

The diameter of the tank is $d=520\ cm$

Density of solution $\rho=0.75\ g/cm^3\ or\ 750\ kg/m^3$

$(a)$ Water pressure at the bottom of the tank is

$P=\rho gh\\P=750\times 9.8\times 0.1\\P=735\ Pa$

$1\ Pa=0.000145038\ psi$

$\Rightarrow P=735\ Pa\ or\ 0.1066\ psi$

$(b) \text{Average force on the bottom is the product of pressure and area of the base}$

$F_{avg}=735\times \pi \cdot (\frac{520}{200})^2\\\\F_{avg}=735\times 3.142\times 6.76\\F_{avg}=15,611.34\ N\ or\ 15.611\ kN$